Translation surfaces (Record no. 36839)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02508nam a22002897a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | NISER |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260305095359.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 260303b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9788195782949 |
| Qualifying information | Paperback |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | NISER LIBRARY |
| Language of cataloging | eng |
| Transcribing agency | NISER LIBRARY |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514.12 |
| Item number | ATH-T |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Athreya, Jayadev S. |
| 245 10 - TITLE STATEMENT | |
| Title | Translation surfaces |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | New Delhi : |
| Name of publisher, distributor, etc. | Hindustan Book Agency, |
| Date of publication, distribution, etc. | 2024. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xi, 179 pages. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Texts and readings in mathematics ; |
| Volume/sequential designation | 87 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This textbook offers an accessible introduction to translation surfaces. Building on modest prerequisites, the authors focus on the fundamentals behind big ideas in the field: ergodic properties of translation flows, counting problems for saddle connections, and associated renormalization techniques. Proofs that go beyond the introductory nature of the book are deftly omitted, allowing readers to develop essential tools and motivation before delving into the literature.<br/><br/>Beginning with the fundamental example of the flat torus, the book goes on to establish the three equivalent definitions of translation surface. An introduction to the moduli space of translation surfaces follows, leading into a study of the dynamics and ergodic theory associated to a translation surface. Counting prob- lems and group actions come to the fore in the latter chapters, giving a broad overview of progress in the 40 years since the ergodicity of the Teichmüller geodesic flow was proven. Exercises are included throughout, inviting readers to actively explore and extend the theory along the way. Translation Surfaces invites readers into this exciting area, providing an accessible entry point from the perspectives of dynamics, ergodicity, and measure theory. Suitable for a one or two-semester graduate course, it assumes a background in complex analysis, measure theory, and manifolds, while some familiarity with Riemann surfaces and ergodic theory would be beneficial. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Translation surfaces |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Riemann surfaces |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Dynamical systems and ergodic theory |
| General subdivision | Ergodicity, mixing, rates of mixing. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Ergodic theory |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Masur, Howard |
| 856 41 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Table of contents |
| Uniform Resource Identifier | <a href="https://www.hindbook.com/images/trim87_content.pdf">https://www.hindbook.com/images/trim87_content.pdf</a> |
| 856 41 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Reviews |
| Uniform Resource Identifier | <a href="https://www.goodreads.com/book/show/212388942-translation-surfaces?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/212388942-translation-surfaces?ref=nav_sb_ss_1_13#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Universal Decimal Classification |
| Koha item type | NBHM Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Universal Decimal Classification | SMS Library | SMS Library | 02/03/2026 | 514.12 ATH-T | N505 | 03/03/2026 | 02/03/2026 | NBHM Books |
